Find the LCM of 935, 989, 500, 946 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 935, 989, 500, 946. So, keep reading to learn more.
Given numbers are 935,989,500,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,989,500,946 is 92471500.
Find LCM of 935,989,500,946 with Prime Factorization
2 | 935, 989, 500, 946 |
5 | 935, 989, 250, 473 |
11 | 187, 989, 50, 473 |
43 | 17, 989, 50, 43 |
17, 23, 50, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 43 x 17 x 23 x 50 x 1 = 92471500
Therefore, the lowest common multiple of 935,989,500,946 is 92471500.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
935 x 989 x 500 x 946 = 437390195000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
935 : 1, 5, 11, 17, 55, 85, 187, 935
989 : 1, 23, 43, 989
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,989,500,946, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
989:23x 43
500:2x 2x 5x 5x 5
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 43 = 4730
Therefore, the value for common factors is 4730.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 437390195000/(1x4730)
LCM = 437390195000/4730
LCM = 92471500
Thus, we can understand that the LCM of 935,989,500,946 is 92471500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 989, 500, 946?
Answer: LCM of 935, 989, 500, 946 is 92471500.
2. How to calculate the LCM of 935, 989, 500, 946?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 935, 989, 500, 946.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.